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Finding the Fourth Proportional to 345,196.30, 476,376.24 and 194,293.30

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Solution

The fourth proportional to 345,196.30, 476,376.24 and 194,293.30 is: 268,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,196.30 : 476,376.24 = 194,293.30 : x
  2. Step 2: Convert to fraction form
    345,196.30/476,376.24 = 194,293.30/x
  3. Step 3: Cross multiply
    345,196.30x = 476,376.24 × 194,293.30
  4. Step 4: Simplify right side
    345,196.30x = 92,556,711,711.19
  5. Step 5: Solve for x
    x = 92,556,711,711.19/345,196.30
  6. Step 6: Final answer
    x = 268,127.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.